Theo ran a 3K in 9.6 minutes, Esteban ran a 5K in 13.5 minutes, and Tetsuo ran a 10K in 31.9 minutes. Who ran the fastest? Round to the nearest ten thousandth. Explain your reasoning.

Answers

Answer 1
Theo ran 3K in 9.6 minutes:

9.6 divided by 3 = 1.2 munutes
3 divided by 3 = 1k

1k = 1.2 minutes.

Estaban ran 5k in 13.5 minutes:

13.5 divided by 5 = 2.7 minutes
5 divided by 5 = 1k

1k = 2.7 munutes

Tetsuo ran 10k in 31.9 minutes:

31.9 divided by 10 = 3.19 munites
10 divided by 10 = 1k

1k = 3.19 minutes

Answer: Theo Ran the Fastest and all the writing above is the resoning.

Related Questions

How many ounces go into a pound

Answers

There are 16 ounces to a pound
16 or 17 ounces go into a pound.

Round to the nearest given place.
1.80431

thousandths

Answers

In order to round a number to the nearest thousandths, we have to check the number in the ten thousandths place:
1- If the number in the ten thousandths is less than 5, then the thousandths number will remain the same and all numbers after it will be converted to zeroes.
2- If the number in the ten thousandths is equal to or greater than 5, then the thousandths number will be incremented by 1 and all numbers after it will be converted to zeroes.

Applying this to the given number: 
1.80431
The number in the ten thousandths position is 3 which is less than 5.
Therefore, rounding 1.80431 to the nearest thousandths will be:
1.80400 which is equivalent to 1.804

Math help please!?!?!?!??!

Answers

1. 
-1a^2b / 2 = 5a^4b/ - 10a^2

2.
3a/b^2 = 3a^4 / 1a^3 b^2

3.
-1/2b = -4a / 8ab

4.
3b^2/1a^2 = -9b^3 / -3a^2b

which property is shown by 6+9=9+6?

distributive property
commutative property of addition
identity property of addition
Associative property of addition

Answers

I think associative property of addition
Commutative Property of Addition

What Is 1/2 Divided By 2.29

Answers

1/2 divided by 2.29 equals 0.2183

Is 13 and 26 relatively prime?

Answers

no they are not
because both can be divided by 13
they are not prime. both are able to be multiplied/divided by 13

Maia's calculator displays a number as 9.125 E10. What is this number in standard form? Enter your answer in the box.

Answers

91,250,000,000 9.125 E10 = 9.125 x 10^10

the correct answer would be 9.125x10^{10}

you're welcome :)

Which statement is true?

1.) (p^2)^5= p^3

2.) (p^2)^5= p^7

3.) (p^2)^5= p^10

4.) (p^2)^5= p^25

Answers

since p^2=p*p,
(p*p)^5 = p*p * p*p * p*p * p*p * p*p = p^10
answer
3.) (p^2)^5= p^10

hope it helps

Item 2 Solve the equation using square roots. m^2+8m+16=45

Answers

Final answer:

To solve the equation m^2 + 8m + 16 = 45 using square roots, rearrange the equation to equal zero, substitute the values of a, b, and c into the quadratic formula, and calculate the solutions for m.

Explanation:

To solve the equation m^2 + 8m + 16 = 45 using square roots, we can rearrange the equation so that one side is equal to zero:
m^2 + 8m + 16 - 45 = 0.
Simplifying further, we have m^2 + 8m - 29 = 0.
Using the quadratic formula, which is x = (-b ± √(b^2 - 4ac))/(2a), where a = 1, b = 8, and c = -29, we can calculate the solutions for m.
Plugging in the values into the quadratic formula, we get m = (-8 ± √(8^2 - 4(1)(-29)))/(2(1)).
Simplifying further, we have m = (-8 ± √(64 + 116))/(2).
Summing up, the solutions for m are m = (-8 ± √180)/2.

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Last year there were 225 employees and 25 supervisors at Corpcon Company. If 27 more employees are hired, how many supervisors need to be hired in order to keep the same ratio?

Answers

In order to solve this, you need to put it into a fraction form.

First for every 225 employees there's 27 supervisors.
25 x
___ = ___
225 252

I got the 252 by adding 225+27(who are the new employees)

So then you need to cross multiply. And get them to equal the same number.

So 25×252= 6,300
Then Divide 6,300 by the old denominator 225.
6,300÷225= 28 new employees

Therefore there will be a total of 28 employees.

Hope this helped!

What numbers are 1.4 units from −3.2 on a number line?

Answers

4.6 because -3.2+1.4=4.6 negative +positive = positive

it's -4.6 not and -2.2

Suppose you had to find 4 x 57. How are the expanded algorithm and the standard algorithm alike? And how are they different?

Answers

The expanded algorithm is given as follows:

4 x 57 = (4 x 50) + (4 x 7) = 200 + 28 = 228


The standard algorithm is given as follows:

[tex]\ \ \ \ \ \ {_2}\\{ \ \ \ \ \ \ 5 \ 7} \\ \times \ \ \ \ \ 4 \\ = \overline{\underline{2\ 2\ 8}}[/tex]
Final answer:

The expanded algorithm and the standard algorithm are both methods used to multiply two numbers, but they differ in how the calculations are organized and performed.

Explanation:

The expanded algorithm and the standard algorithm are both methods used to multiply two numbers. They are alike in that they both involve multiplying the digits of the numbers together and then adding the products. For example, in the problem 4 x 57, both algorithms would multiply 4 by 7, then by 5, and then add the products together.

The difference between the two algorithms lies in the way they organize the calculations. The expanded algorithm separates the numbers into place values (ones, tens, etc.) and performs the multiplication and addition step by step. The standard algorithm, on the other hand, stacks the numbers vertically and performs the multiplication and addition in a more condensed and efficient way.

Overall, the expanded algorithm is often used as a stepping stone to understanding the concept of multiplication, while the standard algorithm is the more efficient method commonly used in practice.

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Arturo is building a flower bed in the shape of a right triangle. The hypotenuse of the right triangle is 13 feet. One of the legs needs to be 7 feet longer than the other leg.
Which equation can be used to find x, the length of the shorter leg?

Answers

Here is my answer:

If one leg is x.

Then the other legs need to be longer than 7, so it is (x + 7)



x² + (x +7)² = 13²

x² + (x +7)² = 169

So I believe that is the equation.

From the Pythagorean triple of 5, 12, 13, one should and would know that if the equation above is solved, x = 5.  

Answer:

D. x2 + (x + 7)2 = 169

Step-by-step explanation:

A recipe needs the following dry ingredients: 1/4 cup of flour,3/4 cup of sugar, and 1/4 cup of chocolate chips. How many total cups of dry ingredients are in the recipe?

Answers

There should be 1 1/4 total cups

If recipe needs the dry ingredients: 1/4 cup of flour,3/4 cup of sugar, and 1/4 cup of chocolate chips then  [tex]1\frac{1}{4}[/tex]  total cups of dry ingredients are in the recipe.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that a recipe needs the following dry ingredients:

1/4 cup of flour,3/4 cup of sugar, and 1/4 cup of chocolate chips

Flour=1/4

Sugar=3/4

Chocolate chips =1/4

We need to find the total cups of dry ingredients are in the recipe.

To find this we just needed to add all the ingreadients.

Flour+sugar+Chocolate chips

1/4+3/4+1/4

5/4

The improper fraction 5/4 can be written as [tex]1\frac{1}{4}[/tex]

Hence,  [tex]1\frac{1}{4}[/tex] total cups of dry ingredients are in the recipe.

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A running club has 270 members. There are 25% more men than women in the running club.
a) How many men are in the running club?

b) 40% of the men and 30% of the women also belong to a cycling club.
Work out the percentage of the whole membership that belong to a cycling club.

Answers

Given:
Let x = number of women in the running club
      1.25x = number of men in the running club

a.) To determine the number of men, we formulate the equation:
       
       x+1.25x = 270
       2.25x = 270

Therefore,
       x = 120              (This is the number of women in the running club)
       1.25x = 150       (This is the number of men in the running club)

ANSWER: 150 men

b.) To determine the percentage of cycling club to the total members, we are given the following:

Men in cycling club = 0.4*150 = 60 
Women in cycling club = 0.3*120 = 36

Percentage = [(60+36)/270]*100 = 35.5%

ANSWER: 35.5%


The length of a line segment is 13 units one end point of a line segment is(-3,7) find four. Second being the other and points of the line segment

Answers

Final answer:

The question involves finding the coordinates of the second endpoint of a line segment with a known length and one endpoint, which can be solved using the distance formula or the Pythagorean theorem. Two-dimensional path questions often require calculating straight-line distances by applying the Pythagorean theorem to right triangle setups. In coordinate geometry, the position vector describes a point's location, with its magnitude being the straight-line distance to the origin.

Explanation:

The student is likely asking to find possible coordinates for the other endpoint of a line segment with a known length and one given endpoint. To solve such problems, we typically use the distance formula, which is based on the Pythagorean theorem to determine the coordinates of the second point. For instance, if the line segment is horizontal or vertical, we would just add or subtract the length from the appropriate coordinate of the known endpoint. However, if the line segment is diagonal, we would need to determine the direction and apply the length as the hypotenuse of a right triangle, then calculate the second point's coordinates using trigonometric ratios or algebraic manipulations based on the Pythagorean theorem.

A two-dimensional path problem typically requires the use of the Pythagorean theorem to find the straight-line distance between two points, such as after walking a certain number of blocks east and north. By constructing a right triangle with the walked blocks forming the legs, the hypotenuse represents the straight-line distance.

The coordinates of a point in two or three dimensions can be interpreted as components of a vector, known as the position vector. This vector has both magnitude and direction, with its magnitude representing the straight-line distance from the point to the origin, calculable through the Pythagorean theorem by taking the square root of the sum of the squares of the coordinates.

In February Lana got a puppy that weighed 13 kilograms. By October the puppy weighed 17.16 kilograms. What was the percent the puppy weight increased?

Answers

(17.16-13)/13=0.32=32%
the percent of change=the amount of change/the original number

Heeeeeeeelp!!!!!!!!!!!
1/3 (21 - 3a) = 6 - 8

a) All real numbers

b)no solution

c) -1

d) 0

Answers

Answer:

what the worls

Step-by-step explanation:

what the worls

Sarah and Rico both collect rocks. If Sarah has three times as many rocks as Rico, and she has 84 rocks, how many rocks does Rico have?

Answers

So this is how I would do it, take 84, divide it by 3 and you will get 28, so that means that Rico has 28 rocks

What is the cost per day of renting a car from a-1

Answers

Final answer:

The cost per day of renting a car from A-1 depends on various factors such as car type, rental duration, and additional fees. It is always a good idea to check with A-1 or the rental car company for accurate pricing information.

Explanation:

The cost per day of renting a car from A-1 can vary depending on the specific rental car company and location. Generally, the cost is determined by factors such as the type of car, duration of rental, and any additional fees or insurance coverage. For example, if you rent a compact car from A-1 for 3 days and the total cost is $150, then the cost per day would be $50. It is always recommended to check with A-1 or the specific rental car company for accurate pricing information.

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Jefferson High School has a student body of 6⁴ students. Each class has approximately 6² students. How many classes does the school have? Write the answer as one power.

Answers

36, because 6^4 /6^2 is 6^2 and 6*6 (6^2) is 36 

A tile pattern has 5 tiles in figure 0 and adds 7 tiles in each new figure. write the equation of the line that represents the growth of this pattern.

Answers

5+7x because it adds 7 for each extra

taxi fare is $2.00 plus $1.10 per mile. What is the equation for that?

Answers

The taxi fare equation is F = 2.00 + 1.10m, where F is the total fare and m is the number of miles traveled.

The equation for taxi fare, which is $2.00 plus $1.10 per mile, can be represented in a linear equation form. Let F be the total fare, and m be the number of miles traveled. The equation that represents this scenario is:

F = 2.00 + 1.10m

The base fare of $2.00 is a fixed charge, while $1.10m indicates the variable charge, which depends on the number of miles traveled. To calculate the total fare for any given trip, you would multiply the number of miles by $1.10 and then add the base fare of $2.00.

Aurelia is buying a new computer. The shipping cost is 8% of the purchase price. If Aurelia's as computer cost $585, how much will it cost to have it shipped?

Answers

the cost of shipping would be $46.80

The solution is $ 46.80

The cost of the shipping of Aurelia's computer is $ 46.80

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given as

Let the cost of Aurelia's computer be = $ 585

And , the percentage of cost of shipping Aurelia's computer = 8 % of cost of computer

So , the cost of shipping is given by the equation ,

Cost of shipping the computer = percentage of cost of shipping Aurelia's computer x cost of Aurelia's computer

Substituting the values in the equation , we get

Cost of shipping the computer = 585 x ( 8/100 )

Cost of shipping the computer = 585 x 0.08

Cost of shipping the computer = $ 46.80

Therefore , the value of A is $ 46.80

Hence , The cost of the shipping of Aurelia's computer is $ 46.80

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How to solve z divided by 4/9=3/8

Answers

It would have been clearer had you written, 

"How would I solve     'z divided by 4/9 equals 3/8' ?

You meant

 z
--------   = 3/8, or     9z/4 = 3/8.
   4
   --
    9

The LCD here is 8.  Mult. both sides by 8:  18z = 3.

Solve this last result for z:    z = 3/18, or           z = 1/6   (answer)  

Any help on this one?

Answers

Hello there!

The correct answer is √6

---------------------------------------
What we need to do is multiply the numerator and the denominator conjugate.

So when we do that, we would get √6


Good luck!

Is 3.5 an irrational number

Answers

Answer: No.
Irrational numbers cannot be rewritten as fractions; rational numbers can. 3.5  can be written as the fraction 7/2, so it is rational.
No it is not they can not be written as fractions

Sanjay has quiz scores of 96%, 89%, 92%, 77%, 100% and 87%. What score does he need to make on the final quiz to have an overall average of 91%?

Answers

First (96+89+92+77+100+87+x)/7=91
Then 96+89+92+77+100+87+X = 637
Next 541 + X = 637
Then subtract 541 from both sides
Final answer is x=96

Answer:

Sanjay needs to make a score of 96% to have an overall average of 91%.

Step-by-step explanation:

Sanjay has already done six quizzes, whose qualification was of 96%, 89%, 92%, 77%, 100% and 87%, a total of 541 points, thus giving an average of 90.16%. In order to know which qualification should Sanjay reach to have an overall average of 91%, we have to do the following calculation:

(541 (total points of the six previous exams) + X (qualification that Sanjay should achieve)) / 7 (total amount of exams) = 91

(541 + X) / 7 = 91

541 + X = 91 x 7

541 + X = 637

X = 637 - 541

X = 96

Sanjay needs to make a score of 96% to have an overall average of 91%.

integral of x sqrt(36+x^2) when x = 6tan theta

Answers


[tex](36+{x}^{2})x=6[/tex]
[tex]x = 6[/tex]

Kip is using a recipe that calls for 1/4 cup of lemon juice. He has a 6-fluid-ounce bottle of lemon juice. There are 8 fluid ounces of lemon juice in 1 cup. How many batches of the recipe can kip make?

1 1/2 Batches

2 Batches

3 Batches

5 Batches

5 1/3 Batches

Answers

1 cup = 8 fluid ounces

Divide both sides by 4:

1/4 cup = 2 fluid ounces

Now we know that 1/4 cup is 2 fluid ounces. He has 6 fluid ounces.
6/2 = 3.
He can make 3 batches of the recipe.

Kip can make 3 batches of the recipe using the 6-fluid-ounce bottle of lemon juice.

A cup is equal to 8 fluid ounces. If Kip has a 6-fluid-ounce bottle of lemon juice and the recipe calls for 1/4 cup, we need to convert 1/4 cup to fluid ounces. Multiplying 1/4 by 8 gives us 2 fluid ounces. So, Kip has 2 fluid ounces of lemon juice in the bottle. Now we can divide the total amount of lemon juice in the bottle by the amount required for each batch of the recipe, which is 2 fluid ounces. Therefore, Kip can make 3 batches of the recipe using the 6-fluid-ounce bottle of lemon juice.

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